Background Cancer, a complex and deadly health concern today, is characterized by
forming potentially malignant tumors or cancer cells. The dynamic interaction between these …

Tuberculosis (TB) is a deadly contagious disease that affects vital organs of the body,
especially the lungs. Although the disease is preventable, there are still concerns about its …

The space–time fractional Telegraph equation and the space–time fractional modified third-
order Kdv equations are significant molding equations in theoretic physics, mathematical …

This paper proposes an optimization method for solving a general form of nonlinear
fractional optimal control problems (NFOCP) governed by nonlinear fractional dynamical …

This paper presents an explicit formula that approximates the fractional derivatives of
Chebyshev polynomials of the first-kind in the Caputo sense. The new expression is given in …

In this paper, we introduce a general class of coupled nonlinear systems of variable-order
fractional partial differential equations (GCNSV-FPDEs) with initial and boundary conditions …

Fascioliasis is a liver fluke disease in which food and water are the transmitting agents. The
disease is caused by a genus of Fasciola, parasitic Trematoda. The genus Fasciola includes …

Differential and integral equations have been used vastly in modeling engineering and
science problems. Solving these equations has been always an active and important area of …

This study aims to propose a new optimization method based on the generalized Bessel
polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional …

This paper introduces a novel class of nonlinear optimal control problems generated by
dynamical systems involved with variable-order fractional derivatives in the Atangana …